Existence, uniqueness and multiplicity of rotating fluxon waves in annular Josephson junctions

Details Existence, uniqueness and multiplicity of rotating fluxon waves in annular Josephson junctions Existence, uniqueness and multiplicity of rotating fluxon waves in annular Josephson junctions

2004-12-08

arxiv.org/abs/nlin/0412022v3

Differential Integral Equations 20 (2007), no. 10, 1167--1184

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We prove that the equation modelling an annular Josephson junction has a
rotating fluxon wave for all values of the parameters. We also obtain results
on uniqueness of the rotating fluxon wave in some parameter regimes, and
results on multiplicity of rotating fluxon waves in other parameter regimes.

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